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Binomial Example: Testing Psychic Abilities Using statistics . “Remote Viewing” developed as part of classified government program called “Stargate”. Psi/Psychic/ESP/Anomalous Cognition. Having information that could not have been gained through the known senses.
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Binomial Example:Testing Psychic Abilities Using statistics “Remote Viewing” developed as part of classified government program called “Stargate”
Psi/Psychic/ESP/Anomalous Cognition Having information that could not have been gained through the known senses. • Telepathy: Info from another person • Clairvoyance: Info from another place • Precognition: Info from the future • Correlation: Simultaneous access to info For proof -> Source isn’t important. For explanation -> Source is important.
Controlled Experiments to Test Psychic Abilities Crucial elements: 1. Safeguards to rule out cheating or ordinary means of communication 2. Knowledge of probabilities of various outcomes by chance alone Examples... are these okay? 1. I am thinking of a number from 1 to 5. Guess it. 2. My assistant upstairs has shuffled a deck of cards (well!) and picked one. What suit is it? Examples of forced choiceexperiments. Have someone guess n times. Can be analyzed using binomial distribution.
Receiver 10:00 Feedback Monitor Assistant Remote Viewing ProtocolMeets condition #1 (safeguards) 15 Minutes 10:05
Example of an Amazing Match(Experiment at SAIC/Stanford) Key MountainBarn or Large CabinShadowShadows of Mtns.TreesRoad PathAmerican Rockies orMaybe Alps
Typical Response – Novice (Recent Experiment) intersection,notch, groove wave, sea wall gap
How NOT to Judge the Response Can’t use subjective match – too much room for personal bias.
Rank-Order Judging 1 2 4 3
An Experiment has manySessions • Before the experiment, a “target pool” is created - many packs of 4 dissimilar sets of photos (or short videos). • Before each session begins a pack of 4 is randomly selected, then target within it (e.g. windmills). The sessiontakes place, producing a response. • After the session, a judge is given the response and the 4 choices from that target pack. Judge must assign the 4 ranks (and is of course blind to correct answer). • For each session, result = the rank assigned to correct target, or “direct hit” if it gets 1st place rank. • We will look at direct hits only, which is binomial.
Experiments, Sessions,Probability • Summary statistic for entire experiment(many sessions): • n = number of sessions. • By chance, p = probability of “direct hit” = 1/4 • X = number of direct hits, X is binomial • Meets Condition #2: Knowledge of probabilities of various outcomes by chance alone.
Statistical Analysis • We can test null & alternative hypotheses: Null: Chance alone can explain results Alternative: At least some participants can guess at better than chance Suppose an experiment has n sessions, k hits • P-value = probability of at least k successes in binomial n, ¼ • Can also get confidence interval for true p
P-value and C.I. Results of Free Response Experiments (for 1995 report for Congress) Hit rates assume there were four choices; chance = 25% U.S. Government Studies in Remote Viewing: • SRI International (1970's and 1980's) n = 966 trials, k = 329, so 34% hits p-value = 4.3 10-11, 95% C.I. 31% to 37% • SAIC n = 455 trials, k = 160, so 35% hits p-value = 5.7 10-7, 95% C.I. 30% to 40%
More results from 1995 review Ganzfeld experiments (similar to remote viewing): • Psychophysical Research Laboratories, Princeton n = 355 trials, hit rate = 34.4%, p-value = .00005, C.I. 29.4% to 39.6% • University of Amsterdam, Netherlands (1990's) n = 124 trials, hit rate = 37%, p-value = .0019, C.I. 29% to 46% • University of Edinburgh, Scotland (1990's) n = 97 trials, hit rate = 33%, p-value = .0476, C.I. 25% TO 44% • Rhine Research Institute, North Carolina (1990's) n = 100 trials, hit rate = 33%, p-value = .0446, C.I. 24% to 42%
More Recent Analysis of 58 Studies, Overall hit rate = 33% (chance = 25%) All studies
Online Tests http://www.gotpsi.org Has a “quick remote viewing” test where you are shown 5 pictures, and asked which one you think is the correct answer. Also has various card guessing tests, mostly based on binomial.